We can use the fact that, for 
,
Notice that
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1%7B1-x%7D%5Cright%5D%3D%5Cdfrac1%7B%281-x%29%5E2%7D)
so that
![f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Cfrac5%7B%281-x%29%5E2%7D%3D5%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%5Cright%5D)
By the ratio test, this series converges if
so the series has radius of convergence 
.
The solved inequality is t > 12.
Divide both sides by 9 to isolate the variable.
9t becomes t, and 108 becomes 12.
<u>We do not flip the sign because we are dividing by a </u><u>positive</u><u>.</u>
Veronica traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7 days
<em><u>Solution:</u></em>
Veronica traveled 562 miles to Venice, Florida
She drove 85 miles every day
Let "d" be the number of days she drove 85 miles per day
On the last day of her trip she only drove 52 miles
Therefore, we frame a equation as,
Total miles = 85 miles every day for "d" days + last day
Total miles = 85(d) + 52
Total miles = 85d + 52
562 = 85d + 52
85d = 562 - 52
85d = 510
d = 6
She traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7
4g = 24
First, divide both sides by 4. / Your problem should look like: g =
Second, simplify
to 6. / Your problem should look like: g = 6
Answer:
g = 6
Use FOIL
<span>(1-p)(1+p+p^2+p^3+p^4+p^5+p^6)
</span><span>1+p+p^2+p^3+p^4+p^5+p^6 -1p - p^2 - p^3 - p^4 - p^5 - p^6
</span><span>1 + p -1p <------------------Answer</span>
